Don't worry about star marks: BMW does sell their OEM winter wheels with non-starred tires. I have a set. No permanent vibrations (I recall a noticeable vibration once: I did not stop
and it gave up
), no xDrive, no LCI, no shit.
No M135i either. This mustn't matter, of course. It's all right with factory sizes as well. People played with non-standard and even no proper match between rim and tire here on the forum but kept their complaints, if any.
Check the tire pressure.